References

• 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
• 2003Defining Uncertainty: A Conceptual Basis for Uncertainty Management in Model-Based Decision Support2,080 cited
• 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
• 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
• 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
• 2010Spectral Methods for Uncertainty Quantification953 cited
• 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 cited
• 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
• 2006Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures498 cited
• 2012Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion451 cited
• 2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
• 2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification348 cited
• 2010An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations205 cited